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Finding the Fourth Proportional to 1,912.61, 2,868.51 and 680.10

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Solution

The fourth proportional to 1,912.61, 2,868.51 and 680.10 is: 1,020.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.61 : 2,868.51 = 680.10 : x
  2. Step 2: Convert to fraction form
    1,912.61/2,868.51 = 680.10/x
  3. Step 3: Cross multiply
    1,912.61x = 2,868.51 × 680.10
  4. Step 4: Simplify right side
    1,912.61x = 1,950,865.44
  5. Step 5: Solve for x
    x = 1,950,865.44/1,912.61
  6. Step 6: Final answer
    x = 1,020.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.